Marge Lial became interested in math at an early age–it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. She was particularly interested in archeology; trips to various digs and ruin sites produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. We dedicate the new editions of the paperback developmental math series to Marge in honor of her contributions to the field in which she helped thousands of students succeed.
Stan Salzman is a long time resident of Sacramento, California. Stan has taught at American River College for many years, where he was a member of the business department. He is the author of Business Math and Essential Math, published by Pearson Education, Inc., and is coauthor of Basic Math.
Diana Hestwood lives in Minnesota and has taught at Metropolitan Community College in Minneapolis for two decades. She has done research on the student brain and is an expert on study skills. She is the author of Lial/Hestwood’s Prealgebra and coauthor of Lial/Salzman/Hestwood’s Basic Math and Lial/Hestwood/Hornsby/McGinnis’s Prealgebra and Introductory Algebra.
1. Whole Numbers
1.1 Reading and Writing Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Long Division
1.7 Rounding Whole Numbers
1.8 Exponents, Roots, and Order of Operations
1.9 Reading Pictographs, Bar Graphs, and Line Graphs
1.10 Solving Application Problems
2. Multiplying and Dividing Fractions
2.1 Basics of Fractions
2.2 Mixed Numbers
2.3 Factors
2.4 Writing a Fraction in Lowest Terms
2.5 Multiplying Fractions
2.5 Applications of Multiplication
2.7 Dividing Fractions
2.8 Multiplying and Dividing Mixed Numbers
3. Adding and Subtracting Fractions
3.1 Adding and Subtracting Like Fractions
3.2 Least Common Multiples
3.3 Adding and Subtracting Unlike Fractions
3.4 Adding and Subtracting Mixed Numbers
3.5 Order Relations and the Order of Operations
4. Decimals
4.1 Reading and Writing Decimal Numbers
4.2 Rounding Decimal Numbers
4.3 Adding and Subtracting Decimal Numbers
4.4 Multiplying Decimal Numbers
4.5 Dividing Decimal Numbers
4.6 Fractions and Decimals
5. Ratio and Proportion
5.1 Ratios
5.2 Rates
5.3 Proportions
5.4 Solving Proportions
5.5 Solving Application Problems with Proportions
6. Percent
6.1 Basics of Percent
6.2 Percents and Fractions
6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem
6.4 Using Proportions to Solve Percent Problems
6.5 Using the Percent Equation
6.6 Solving Application Problems with Percent
6.7 Simple Interest
6.8 Compound Interest
7. Geometry
7.1 Lines and Angles
7.2 Rectangles and Squares
7.3 Parallelograms and Trapezoids
7.4 Triangles
7.5 Circles
7.6 Volume and Surface Area
7.7 Pythagorean Theorem
7.7 Congruent and Similar Triangles
8. Statistics
8.1 Circle Graphs
8.2 Bar Graphs and Line Graphs
8.3 Frequency Distributions and Histograms
8.4 Mean, Median, and Mode
9. The Real Number System
9.1 Exponents, Order of Operations, and Inequality
9.2 Variables, Expressions, and Equations
9.3 Real Numbers and the Number Line
9.4 Adding Real Numbers
9.5 Subtracting Real Numbers
9.6 Multiplying and Dividing Real Numbers
9.7 Properties of Real Numbers
9.8 Simplifying Expressions
10. Equations, Inequalities, and Applications
10.1 The Addition Property of Equality
10.2 The Multiplication Property of Equality
10.3 More on Solving Linear Equations
10.4 An Introduction to Applications of Linear Equations
10.5 Formulas and Additional Applications from Geometry
10.6 Solving Linear Inequalities
11. Graphs of Linear Equations and Inequalities in Two Variables
11.1 Linear Equations in Two Variables; The Rectangular Coordinate System
11.2 Graphing Linear Equations in Two Variables
11.3 The Slope of a Line
11.4 Writing and Graphing Equations of Lines
11.5 Graphing Linear Inequalities in Two Variables
12. Exponents and Polynomials
12.1 Adding and Subtracting Polynomials
12.2 The Product Rule and Power Rules for Exponents
12.3 Multiplying Polynomials
12.4 Special Products
12.5 Integer Exponents and the Quotient Rule
12.6 Dividing a Polynomial by a Monomial
12.7 Dividing a Polynomial by a Polynomial
12.8 An Application of Exponents: Scientific Notation
13. Factoring and Applications
13.1 Factors; The Greatest Common Factor
13.2 Factoring Trinomials
13.3 Factoring Trinomials by Grouping
13.4 Factoring Trinomials by Using the FOIL Method
13.5 Special Factoring Techniques
13.6 A General Approach to Factoring
13.7 Solving Quadratic Equations by Factoring
13.8 Applications of Quadratic Equations
14. Rational Expressions and Applications
14.1 The Fundamental Property of Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Least Common Denominators
14.4 Adding and Subtracting Rational Expressions
14.5 Complex Fractions
14.6 Solving Equations with Rational Expressions
14.7 Applications of Rational Expressions
14.8 Variation
15. Systems of Linear Equations and Inequalities
15.1 Solving Systems of Linear Equations by Graphing
15.2 Solving Systems of Linear Equations by Substitution
15.3 Solving Systems of Linear Equations by Elimination
15.4 Applications of Linear Systems
15.5 Solving Systems of Linear Inequalities
16. Roots and Radicals
16.1 Evaluating Roots
16.2 Multiplying, Dividing, and Simplifying Radicals
16.3 Adding and Subtracting Radicals
16.4 Rationalizing the Denominator
16.5 More Simplifying and Operations with Radicals
16.6 Solving Equations with Radicals
17. Quadratic Equations
17.1 Solving Quadratic Equations by the Square Root Property
17.2 Solving Quadratic Equations by Completing the Square
17.3 Solving Quadratic Equations by the Quadratic Formula
17.4 Graphing Quadratic Equations
17.5 Introduction to Functions